Advanced Battle Mechanics Part 1: Buffs & Debuffs
With every new batch of daemons released, we see more and more interesting combinations of buffs, debuffs and status ailments in skills and abilities. This three-part guide will delve into the mathematics behind the damage.
This first installment will cover stats, buffs, debuffs, how they affect damage in battle, and how they stack.
Links to other parts:
WHAT TYPES OF BUFFS AND DEBUFFS ARE THERE?
As you’re probably well aware, there are a number of different types of buffs (and debuffs) in the game. These can be split into three types.
These buffs will directly affect the damage dealt by each attack.
DMG dealt: Increases/decreases damage done by normal attack DMG, skill DMG and crit DMG.
Normal DMG: Increases damage done by normal attacks (bond only).
Skill DMG: Increases damage done by skill attacks.
DMG taken: Decreases/increases damage taken from all forms of dmg, including DoT from status ailments.
Crit DMG: Increases damage done by critical hits.
DEF: Decreases/increases damage taken from all forms of dmg, including DoT from status ailments.
Level: Increases the level of a daemon.
These buffs will not affect the damage dealt by each attack, but will affect the effective damage (to be covered in part 2).
Crit Rate: Increases the chance of a critical hit.
Attack Speed: Decreases/Increases normal attack and skill casting animation times, and time between casts.
Max HP: Increases maximum HP.
HP Restoration: Allows for passive restoration of HP over time.
These buffs are for resource farming, and will not affect the damage at all.
Soulstones: Increases soulstones gained.
Drop rate: Increases the battle reward drop rate.
EXP: Increases EXP gained.
HOW DO BUFFS/DEBUFFS STACK?
All buffs and debuffs are capable of stacking, but he big question is, how? The first step to recognise that buffs/debuffs are applied in 3 layers: base stats, levels and everything else.
Buffs in the same layer stack additively, whereas buffs in different layers stack multiplicatively. Buffs of different types will also stack multiplicatively. Debuffs work in the exact same way, but will use subtraction/division instead of addition/multiplication.
It is important to note that most buffs will not stack indefinitely. There appears to be a cap on how much different buffs can be stacked to, which is different for each event type (Story/CQ/Tower/WB/PvP).
Now that we know how buffs and debuffs stack, let’s have a look at some examples involving direct buffs:
EXAMPLE #1: BASIC BUFFS
Let’s start off with everyone’s favourite kitty, none other than Muramasa. Here’s her kit at level 70:
ATK: 9288 | HP: 6869
Skill: Deals 2701 DMG to 2 enemies.
Ability: Moderately increases DMG dealt (15%).
If we take her into a battle where the team gets a 10% bonus to DMG Dealt for type advantage, the damage that she will deal with her skill is:
As you can see, Muramasa’s ability stacks additively with the type advantage for a 25% buff to her skill damage. Now, let’s give her a +5% Skill DMG bond. The calculation for her skill damage then becomes this:
In this case, the Skill DMG from her bond will stack multiplicatively with the DMG Dealt from her ability and type advantage. Note that 2701 x (1+0.05) = 2832, which is the skill damage that is displayed on Muramasa’s description after bonding.
EXAMPLE #2: LEVEL BUFFS
Now, let’s look at an example that involves level buffs. At level 90, Dojigiri Yasutsuna (Bride)’s kit looks like this:
ATK: 9428| HP: 10978
Skill: Deals 2361 DMG to further enemies.
Dojigiri has an ability that raises her level by 10 when Shuten Doji is on the team. If Shuten Doji is indeed present on the team, the game will take into account her new level (90 + 10 = 100) when applying other buffs. At this level, her stats are:
ATK: 10191| HP: 11867
Skill: Deals 2551 DMG to further enemies.
If we put 2 skill bonds on her, and take her into a battle where she has a type disadvantage, her skill damage will then be as follows:
EXAMPLE #3: COMBINATION BUFFS
Now, let’s look at more complex situation which involves a combination of bonds, special bonds, skills, abilities and type advantages all rolled into one- more reflective of what would happen in story or tower. For this, we’ll use a level 90 Ohina:
ATK: 12410| HP: 8949
Skill: Deals 1746 DMG to the all enemies.
Ability: Moderately increases Crit DMG of all Festival Dolls (15%), sharply increases DMG Dealt by Festival Dolls as leader (20%).
Let’s give Ohina two 5-star ranged Animas as bonds (+7.5% Skill DMG each), as well as Odairi, who she has a special bond with her (+4% Normal DMG, +10% Skill DMG), and make her the leader of a team that also includes New Year Game, Poison S. Brew, Azukiarai and some other daemons (assume a type advantage of 18%). If, on the final wave, Ohina receives two buffs from Azukiarai and lands a crit with her skill, the damage done by her skill crit will be:
This is a pretty complex calculation! However, you should still be able to see how the different buffs stack.
EXAMPLE #4: COMBINATION BUFFS & DEBUFFS
Finally, let’s look at an intense combination of both buffs and debuffs in a situation like Conquest. For this, we’ll use a team consisting of Freyr, Leonardo da Vinci, Katsushika Hokusai, Titanium Elf and Socrates, with Philosopher’s Stone and Old Clock Chronos in reserve (all at MLB). Our main attacker will be Leonardo, whose kit at Lv. 90 looks like this:
ATK: 13365| HP: 9546
Skill: Deals 5793 DMG to enemy with the highest ATK.
Ability: Sharply increases Crit DMG (35%), sharply increases DMG Dealt (20%)
Let’s say the skill combo for this team is Freyr, Katsu, Socrates, Titanium, Titanium, Leonardo, Leonardo, Leonardo. Assuming that Leonardo has three 5-star ranged Divinas as bonds (+7.5% Skill DMG each) and lands a crit, the total damage dealt should theoretically be:
If Leonardo were to be hit by an enemy skill which reduces DMG dealt by 46%, then the final damage would be:
Again, these are complex calculations. Note that Titanium’s increase damage taken debuff acts like a second set of DMG Dealt buffs, which is not surprising seeing that they’re two sides of the same coin. In fact, most debuffs will work like this – the only exception being decrease DEF debuffs, which simply increase the final damage dealt by the skill value (as you can see by Socrates’ debuff in each set of calcs).
SO WHAT DOES THIS ALL MEAN?
These mechanics have a few implications for buffing. First of all, since skills and abilities stack additively, you may want to explore the use of different types of buffs AND debuffs to increase your damage, as multiplicative stacking generally results in larger boosts than additive stacking (but not always!). In addition, it means that certain abilities will seem to be less effective (particularly skill DMG and DMG dealt), since they will stack additively with bonds rather than multiplicatively.
Stay tuned for the next installment on effective stats!